Scale Factors with Ratios in Polygons

If two polygons are similar, then the ratio of the lengths of two corresponding sides. Often referred to as k.

• Scale Factor

• Similarity Number

• Corresponding Factor

• Similar Polygons

• Isometric Factor

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

A transformation that moves each point along a ray through the point emanating from a fixed center point P, multiplying the distance from the center point by a common scale factor, k.

• Dilation

• Reflection

• Rotation

• Translation

• Glide Transformation

Tags

CCSS.8.G.A.3

A transformation in which all corresponding angles are congruent and all corresponding sides are in proportion.

• Dilation

• Reflection

• Rotation

• Translation

• Glide Transformation

Tags

CCSS.8.G.A.3

Two polygons with corresponding angles that are congruent and corresponding side lengths that are proportional.

• Corresponding Polygons

• Congruent Polygons

• Similar Polygons

• Transformed Polygons

• Isometric Polygons

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

• If a is greater than 1, the image of the polygon is congruent to the polygon.

• If a is between 0 and 1, the image of the polygon is congruent to the polygon.

• If a is greater than 1, the image of the polygon is smaller than the polygon.

• If a is between 0 and 1, the image of the polygon is smaller than the polygon.

Tags

CCSS.8.G.A.3

If two polygons are similar, then the ratio of any two corresponding lengths in the polygons is ___________ the scale factor (or similarity ratio) of the similar polygons.

• equal to

• double

• triple

• the square of

• the square root of

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

If two polygons are similar, then the ratio of their perimeters is __________ the ratios of their corresponding side lengths.

• equal to

• double

• triple

• the square of

• the square root of

The polygons are similar. Find x.

• 11

• 6

• 13

• 5

Tags

CCSS.HSG.SRT.A.2

The polygons are similar. What is the ratio of the smaller figure to the larger one.

• 6:7

• 1:2

• 4:5

• 5:9

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are the polygons similar? If so, what is the scale factor to make the smaller match the larger?

• Not Similar

• Similar, scaled by 6/5

• Similar, scale by 5/6

• Similar, scaled by 2

Tags

CCSS.HSG.SRT.A.2

CCSS.8.G.A.4